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1054164111 = 371113351037
BaseRepresentation
bin111110110101010…
…100010010001111
32201110121002022020
4332311110102033
54124331222421
6252334221223
735060150520
oct7665242217
92643532266
101054164111
114a1059110
12255054813
1313a522a60
14a000a847
156282edc6
hex3ed5448f

1054164111 has 32 divisors (see below), whose sum is σ = 1887180288. Its totient is φ = 505491840.

The previous prime is 1054164103. The next prime is 1054164113. The reversal of 1054164111 is 1114614501.

It is not a de Polignac number, because 1054164111 - 23 = 1054164103 is a prime.

It is a super-2 number, since 2×10541641112 = 2222523945840840642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054164113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172516 + ... + 178521.

It is an arithmetic number, because the mean of its divisors is an integer number (58974384).

Almost surely, 21054164111 is an apocalyptic number.

1054164111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1054164111 is a deficient number, since it is larger than the sum of its proper divisors (833016177).

1054164111 is a wasteful number, since it uses less digits than its factorization.

1054164111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351071.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1054164111 is about 32467.8935411585. The cubic root of 1054164111 is about 1017.7381995394.

Adding to 1054164111 its reverse (1114614501), we get a palindrome (2168778612).

The spelling of 1054164111 in words is "one billion, fifty-four million, one hundred sixty-four thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 351037 1053111 2457259 3861407 4563481 7371777 11584221 13690443 27029849 31944367 50198291 81089547 95833101 150594873 351388037 1054164111